Question

In: Physics

The maximum speed of a child on a swing is 5.90 m/s. The child’s height above...

The maximum speed of a child on a swing is 5.90 m/s. The child’s height above the ground is 0.790 m at the lowest point in his motion. How high above the ground is he at his highest point?

m

Expert Solution

The maximum speed of the child,

Height of the child at the lowest position,

---------

How high above the ground is he at his highest point?

The child on the swing will have the maximum velocity at the lowest point in the trajectory.

At the highest point, all the kinetic energy will be converted into potential energy.

=========

Consider the lowest point and highest point in the trajectory.

Energy is conserved

So when the child reaches the highest point, kinetic energy and potential energy at the lowest point will be converted into potential energy at the highest point.

Cancel mass m

ANSWER:

==========================

genius_generous answered 10 months ago

Q: A child is running at her maximum speed of 4.0 m/s to catch an ice-cream...

Q: A child is running at her maximum speed of 4.0 m/s to catch an ice-cream truck, which is stopped at the side of the road. When the child is 20 m from the truck, the ice-cream truck starts to accelerate away at a rate of 1.0 m/s2 . Does the child catch the truck? solve this problem algebraically and graphically.

A 34kg child runs with a speed of 2.4 m/s tangential to the rim of a...

A 34kg child runs with a speed of 2.4 m/s tangential to the rim of a stationary merry go round. The merry go round has a moment of inertia of 520 kg*m^2 and a radius of 2.00m. After the child hops on the merry go round it rotates with an angular speed of 0.3 rad/s. Find the initial and final kinetic energy of the system. (merry go round and the child). If a frictional torque of 340 is present to...

A stone is projected at a cliff of height h with an initial speed of 42.0 m/s

A stone is projected at a cliff of height h with an initial speed of 42.0 m/s directed 60.0° above the horizontal, as shown in Fig. 4-32. The stone strikes at A, 5.50 s after launching.Find:(a) the height h of the cliff,_______ m(b) the speed of the stone just before impact at A, and_________ m/s(c) the maximum height H reached above the ground.__________ m

If an arrow is shot upward on Mars with a speed of 68 m/s, its height...

If an arrow is shot upward on Mars with a speed of 68 m/s, its height in meters t seconds later is given by y = 68t − 1.86t2. (Round your answers to two decimal places.) (a) Find the average speed over the given time intervals. Estimate the speed when t = 1.

The trajectory of a rock thrown from a height with an initial speed of 19.7 m/s...

The trajectory of a rock thrown from a height with an initial speed of 19.7 m/s is shown in the figure below. Evaluate the magnitude of the gravitational field at the surface of the planet. The planet has no atmosphere.

A ball is thrown toward a cliff of height h with a speed of 30 m/s...

A ball is thrown toward a cliff of height h with a speed of 30 m/s and an angle of 60° above horizontal. It lands on the edge of the cliff 4.0 s later. How high is the cliff? What was the maximum height of the ball? What is the ball’s impact speed?

A child rides down the road on his bike at a speed 4.3 m/s with a...

A child rides down the road on his bike at a speed 4.3 m/s with a balloon tied to its handle bars. At a time t = 0 s, the balloon comes untied and floats into the air. It accelerates with the vector: a(t) = ( -0.31 m/s2 e(-0.072093 s-1 t ) , 4.71 m/s2 - 0 m/s3 t ) [Note: The acceleration coefficient in the x-direction should be v0? (= -0.3099 m/s2) where v0 is the initial speed and...

A ball is thrown upward with a speed of 28.2 m/s. A. What is its maximum...

A ball is thrown upward with a speed of 28.2 m/s. A. What is its maximum height? B. How long is the ball in the air? C. When does the ball have a speed of 12m/s? (there are two answers, give both)

A projectile is launched with an initial speed of 40.0 m/s at 60.0 degrees above the...

A projectile is launched with an initial speed of 40.0 m/s at 60.0 degrees above the horizontal. It hits the ground at the same height it was launched from. Neglect air resistance. a) What is the projectile's smallest speed as it moves through air? b) What is the projectile's smallest magnitude of acceleration as it moves through air? c) What is the projectile's speed 1.00 second after launch? d) What is the magnitude of the projectile's displacement 1.00 second after...

Moving at an initial speed of vi = 2.00 m/s, Jimmy slides from a height of...

Moving at an initial speed of vi = 2.00 m/s, Jimmy slides from a height of h = 5.00 m down a straight playground slide, which is inclined at θ = 55° above the horizontal. At the bottom of the slide, Jimmy is moving at vf = 9.00 m/s. By determining the change in mechanical energy, calculate the coefficient of kinetic friction between Jimmy and the slide.