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
vagabundo [1.1K]
3 years ago
8

An object is launched at a velocity of 20 m/s in a direction making an angle of 25° upward with the horizontal.

Physics
1 answer:
Hitman42 [59]3 years ago
7 0

Answer:

(a) max. height = 3.641 m

(b) flight time = 1.723 s

(c) horizontal range = 31.235 m

(d) impact velocity = 20 m/s

Above values have been given to third decimal.  Adjust significant figures to suit accuracy required.

Explanation:

This problem requires the use of kinematics equations

v1^2-v0^2=2aS .............(1)

v1.t + at^2/2 = S ............(2)

where

v0=initial velocity

v1=final velocity

a=acceleration

S=distance travelled

SI units and degrees will be used throughout

Let

theta = angle of elevation = 25 degrees above horizontal

v=initial velocity at 25 degrees elevation in m/s

a = g = -9.81 = acceleration due to gravity (downwards)

(a) Maximum height

Consider vertical direction,

v0 = v sin(theta) = 8.452 m/s

To find maximum height, we find the distance travelled when vertical velocity = 0, i.e. v1=0,

solve for S in equation (1)

v1^2 - v0^2 = 2aS

S = (v1^2-v0^2)/2g = (0-8.452^2)/(2*(-9.81)) = 3.641 m/s

(b) total flight time

We solve for the time t when the vertical height of the object is AGAIN = 0.

Using equation (2) for vertical direction,

v0*t + at^2/2 = S    substitute values

8.452*t + (-9.81)t^2 = 3.641

Solve for t in the above quadratic equation to get t=0, or t=1.723 s.

So time for the flight = 1.723 s

(c) Horiontal range

We know the horizontal velocity is constant (neglect air resistance) at

vh = v*cos(theta) = 25*cos(25) = 18.126 m/s

Time of flight = 1.723 s

Horizontal range = 18.126 m/s * 1.723 s = 31.235 m

(d) Magnitude of object on hitting ground, Vfinal

By symmetry of the trajectory, Vfinal = v = 20, or

Vfinal = sqrt(v0^2+vh^2) = sqrt(8.452^2+18.126^2) = 20 m/s

You might be interested in
Mechanical advantage is always less than validity ratio​
nata0808 [166]

That statement is true.

The question wasn't that specific, so I couldn't give you an answer...

7 0
3 years ago
A small child has a wagon with a mass of 10 kilograms. The child pulls on the wagon with a force of 2 newtons. What is the accel
notka56 [123]

Explanation:

F = ma

2 N = (10 kg) a

a = 0.2 m/s²

6 0
3 years ago
A 59 kg block is positioned 2.0 meters away from another 59 kg block. What is the gravitational force exerted on each object?
Natali [406]

Answer:

Explanation:

The gravitational force equation is

F_g=\frac{Gm_1m_2}{r^2} where G is the gravitational constant. Filling in with what we are given and what we know to be true:

F_g=\frac{6.67*10^{-11}(59)(59)}{(2.0)^2} which, when you do the math, comes out to be

F_g=5.8*10^{-8}N, choice A.

4 0
3 years ago
What acceleration does a 9 N force produce in a 3 kg object? Make sure to show your work. (The 4 steps)​
Furkat [3]

Answer: 3m/s^2

Explanation:

Given that:

Acceleration of object = ?

Force = 9 N

Mass of object = 3 kg

Since force is the product of the mass of an object and the acceleration by which it moves i.e Force = mass x acceleration

9N = 3kg x acceleration

Acceleration = 9N/3kg

Acceleration = 3m/s^2 (3 metres per second square)

Thus, an acceleration of 3m/s^2 is produced.

3 0
3 years ago
Distinguish between an elastic and an inelastic collision.
erik [133]

Answer:

Elastic and Inelastic Collisions. A perfectly elastic collision is defined as one in which there is no loss of kinetic energy in the collision. An inelastic collision is one in which part of the kinetic energy is changed to some other form of energy in the collision.

4 0
3 years ago
Other questions:
  • If a molecule has four hybrid sp3 orbitals, it can be concluded that the molecule has a
    9·2 answers
  • The main difference between speed and velocity involves
    14·2 answers
  • A machinist turns the power on to a grinding wheel, which is at rest at time t = 0.00 s. The wheel accelerates uniformly for 10
    12·1 answer
  • Two samples of water are mixed together.
    6·1 answer
  • Where is the magnetic south pole compared to the geographical north pole?
    8·1 answer
  • The ozone layer is found in which layer of the atmosphere
    8·1 answer
  • What are 5 violations of the rules for Ultimate Frisbee
    13·1 answer
  • What is the net force acting on a jet that has a mass of 130,000kg and it accelerates at a rate of 6m/s as it takes off
    14·1 answer
  • Work done in taking charge from one point of a conductor to is another point is called ​
    11·1 answer
  • How much work was done on a charge of 3.0 to move it through 12v electric potential difference
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!