Ask question

Ask question

All categories

3 years ago

5

Calculate the impulse (in kgm/s) received by a football when it's kicked in a kickoff. The ball has a mass of 0.27 kg and travel

s a horizontal distance of 68 m. The ball is kicked at an angle q of 20.5 with the horizontal and spends 2.276 seconds in the air.

1 answer:

Alona [7]3 years ago

7 0

Answer:

Impulse experienced by the ball = 8.61 kgm/s

Explanation:

Impulse is given as change in momentum according to Newton's second law of motion

Impulse = mv (assuming the ball goes to rest after being kicked)

Range of a projectile is given as

R = uₓt

uₓ = horizontal component of the velocity = u cos(θ) = u cos 20.5° = 0.9367 u

t = time of flight, given in the question as 2.276 s

R = 68 m

68 = 0.9367 u × 2.276 = 2.132 u

u = 31.9 m/s

Impulse = mv = 0.27 × 31.9 = 8.61 kgm/s

You might be interested in

On a spacecraft, two engines are turned on for 684 s at a moment when the velocity of the craft has x and y components of v0x 43

Natasha2012 [34]

As we know by the kinematics

$\delta x = v_x * t + \frac{1}{2} at^2$

$4.11106 = 4370* 684 + \frac{1}{2}a_x*684^2$

$4.11106 = 2989080 + 233928*a_x$

$a_x = -12.78 m/s^2$

Similarly for Y direction

$\delta y = v_y * t + \frac{1}{2} at^2$

$6.07106 = 6280* 684 + \frac{1}{2}a_y*684^2$

$6.07106 = 4295520 + 233928*a_y$

$a_y = -18.36 m/s^2$

8 0

3 years ago

Read 2 more answers

What is the mass of a baseball that has a kinetic energy of 105 J and is traveling at 10 m/s?

kkurt [141]

Answer:

$\boxed {\boxed {\sf 2.1 \ kilograms}}$

Explanation:

Kinetic energy is the energy an object possesses due to motion. The formula 1/2 the product of mass and the squared velocity.

$E_k=\frac{1}{2} mv^2$

We know the baseball's kinetic energy is 105 Joules. It is also traveling at a velocity of 10 meters per second. `

First, convert the units of Joules to make unit cancellation easier later in the problem. 1 Joule (J) is equal to 1 kilogram square meter per square second (kg*m²/s²). The baseball's kinetic energy of 105 J is equal to 105 kg*m²/s².

Now we know 2 values:

$E_k= 105 \ kg*m^2/s^2$

$v= 10 \ m/s$

Substitute these values into the formula.

$105 \ kg*m^2/s^2= \frac{1}{2} m (10 \ m/s)^2$

Now we need to solve for m, the mass. Solve the exponent.

(10 m/s)²= 10 m/s * 10 m/s = 100 m²/s²

$105 \ kg *m^2/s^2 = \frac{1}{2} m (100 \ m^2/s^2)$

Multiply on the right side.

$105 \ kg *m^2/s^2 = m (\frac{1}{2} * 100 \ m^2/s^2)$

$105 \ kg *m^2/s^2 = m (50 \ m^2/s^2)$

The variable, m, is being multiplied by 50 square meters per square second. The opposite of multiplication is division, so we divide both sides by that value.

$\frac {105 \ kg *m^2/s^2 }{50 \ m^2/s^2}= \frac{ m (50 \ m^2/s^2)}{50 \ m^2/s^2}$

$\frac {105 \ kg *m^2/s^2 }{50 \ m^2/s^2}= m$

The units of square meter per square second will cancel out.

$\frac {105 }{50} \ kg= m$

$2.1 \ kg=m$

The mass of the baseball is <u>2.1 kilograms. </u>

5 0

3 years ago

Which property of a wave is labeled "x" on the diagram?

faust18 [17]

C wavelength due to the fact the a frequency does not have an x but a y

8 0

3 years ago

If a spring requires 20 Newtons to be compressed a distance of 10 centimeters, what is the spring constant in N/m (newton meters

Lady bird [3.3K]

Answer:

20 N / 0.1 meters

Explanation:

10 centimetres is equal to 1 tenth of a meter or 0.1 meters.

6 0

3 years ago

Meiosis produce

seraphim [82]

D)four cells that each have half as many chromosomes as the parent cell

7 0

4 years ago