1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valkas [14]
3 years ago
10

Sam kicks a soccer ball with an initial velocity of 40 ms-1. If he kicked the ball at an angle of 550, how far did he kick the b

all? What was its maximum height? How long was it in the air.
Physics
1 answer:
Tom [10]3 years ago
8 0

Answer:

1. Range = 153.42 m.

2. Maximum height = 54.78 m

3. Time of flight = 6.69 s

Explanation:

From the question given above, the following data were obtained:

Initial velocity (u) = 40 ms¯¹

Angle of projection (θ) = 55°

1. Determination of the range.

Initial velocity (u) = 40 ms¯¹

Angle of projection (θ) = 55°

Acceleration due to gravity (g) = 9.8 ms¯²

Range (R) =?

The range i.e how far the ball went can be obtained as follow:

R = u² Sine 2θ /g

R = 40² × Sine (2×55) / 9.8

R = 1600 × Sine 110 / 9.8

R = 1600 × 0.9397 /9.8

R = 153.42 m

2. Determination of the maximum height.

Initial velocity (u) = 40 ms¯¹

Angle of projection (θ) = 55°

Acceleration due to gravity (g) = 9.8 ms¯²

Maximum height (H) =?

H = u² Sine² θ / 2g

H = 40² × (Sine 55)² / 2 × 9.8

H = 1600 × (0.8192) ² / 19.6

H = 54.78 m

3. Determination of the time of flight

Initial velocity (u) = 40 ms¯¹

Angle of projection (θ) = 55°

Acceleration due to gravity (g) = 9.8 ms¯²

Time of flight (T) =?

T = 2u Sine θ / g

T = 2 × 40 × Sine 55 / 9.8

T = 80 × 0.8192 / 9.8

T = 6.69 s

You might be interested in
In a nuclear fusion reaction two 2H atoms are combined to produce one 4He.
Mrrafil [7]

Answer:

a)= 0.025602u

b) = 23.848MeV

c) N = 1.546 × 10¹³

Explanation:

The reaction is

²₁H   +   ²₁H   ⇄   ⁴₂H + Q

a) The mass difference is

Δm = 2m(²₁H) - m (⁴₂H)

       = 2(2.014102u) - 4.002602u

        = 0.025602u

b) Use the Einstein mass energy relation ship

The enegy  release is the mass difference times 931.5MeV/U

E = (0.025602) (931.5)

   = 23.848MeV

c)

the number of reaction need per seconds is

N = Q/E

     = 59W/ 23.848MeV

  = \frac{59}{(23.848 \times 10^6 )(1.6 \times 10^1^9) } \\\\= 1.546 \times 10^1^3

N = 1.546 × 10¹³

5 0
3 years ago
Can You Please Give Me Some Examples of Density-Independent and Density-Dependent Limiting Factors?
ivolga24 [154]
Density-Dependent: 
1<span><span><span><span>. </span>competition.</span><span>   
<span>2. </span>overcrowding.</span><span>   
3<span>. </span>predators.</span></span><span> 

(These are a few from a test I took, hopefully they help you a bit >.<)</span></span>
7 0
3 years ago
Calculate the time needed for a 0.600 kg hammer to reach the surface of the Earth
USPshnik [31]

The time needed for the hammer to reach the surface of the Earth is 3.54 s.

<h3>Time of motion of the hammer</h3>

The time of motion is calculated as follows;

t = √(2h/g)

where;

  • h is height of fall
  • g is acceleration due to gravity

t = √(2 x 10 / 1.6)

t = 3.54 s

Thus, the time needed for the hammer to reach the surface of the Earth is 3.54 s.

Learn more about time of motion here: brainly.com/question/2364404

#SPJ1

8 0
2 years ago
A cart traveling at 0.3 m/s collides with stationary object. After the collision, the cart rebounds in the opposite direction. T
Nady [450]
The first collision because a greater amount of momentum must be taken and used in order to push the cart back, giving it a greater mass and impulse
6 0
3 years ago
The flagpole is held vertical by two ropes. The first of these ropes has a tension in it of 100 N and is at an angle of 60° to t
KatRina [158]

Answer:

T₂ = 123.9 N,  θ = 66.2º

Explanation:

To solve this exercise we use the law of equilibrium, since the diaphragm does not appear, let's use the adjoint to see the forces in the system.

The tension T1 = 100 N, we create a reference frame centered on the pole

X axis

       T₁ₓ - T_{2x} = 0

        T_{2x}= T₁ₓ

Y axis y

      T_{1y} + T_{2y} - 200N = 0

      T_{2y} = 200 -T_{1y}

let's use trigonometry to find the component of the stresses

         sin 60 = T_{1y} / T₁

         cos 60 = t₁ₓ / T₁

         T_{1y} = T₁ sin 60

         T1x = T₁ cos 60

         T_{1y}y = 100 sin 60 = 86.6 N

         T₁ₓ = 100 cos 60 = 50 N

for voltage 2 it is done in the same way

         T_{2y} = T₂ sin θ

         T₂ₓ = T₂ cos θ

we substitute

         

           T₂ sin θ= 200 - 86.6 = 113.4

           T₂ cos θ = 50              (1)

to solve the system we divide the two equations

           tan θ = 113.4 / 50

           θ = tan⁻¹ 2,268

           θ = 66.2º

we caption in equation 1

           T₂ cos 66.2 = 50

           T₂ = 50 / cos 66.2

           T₂ = 123.9 N

8 0
3 years ago
Other questions:
  • A locomotive moved 18.0 m [W] in a time of 6.00 s and stopped. After stopping, the locomotive moved 12.0 m [E] in 10.0 s. a. Det
    13·1 answer
  • A 1400 kg car at rest at a stop sign is rear ended by a 1860 kg truck traveling at a speed of 19.1 m/s. After the collision, the
    9·1 answer
  • If the frequency of a system undergoing simple harmonic motion doubles, by what factor does the maximum value of acceleration ch
    5·1 answer
  • Recent technological developments like high-resolution satellite imagery and diagnostic positron emission tomography (PET scans)
    5·1 answer
  • Which of the following best describes why we say that light is an electromagnetic wave?
    12·1 answer
  • The gravitational force exerted on a baseball is 2.24 N down. A pitcher throws the ball horizontally with velocity 17.0 m/s by u
    14·1 answer
  • Traumatic brain injury. According to a report on traumatic brain injury, the force that a professional boxer's fist exerts on hi
    15·1 answer
  • What is a symptom?
    7·1 answer
  • một vật có khối lượng m=1kg trượt trên mặt phẳng nghiêng hợp mới mặt đất một góc a sao cho sina=0.1 .sau khi trượt hết mặt phẳng
    7·1 answer
  • In the winter, monarch butterflies travel from the United States to Mexico, where the weather is warmer. They return to the Unit
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!