You are on a planet with an unknown acceleration due to gravity. You drop an objectfrom rest and a height 2.8 metres, and measure the final speed 7.4 m/s as the objecthits the ground. Using the Principle of Conservation of Energy, calculate themagnitude of the acceleration due to gravity. Use one digit of precision in youranswer.

Given data: Initial velocity (v0) = 0 m/s Height (h) = 2.8 m Final velocity (v) = 7.4 m/s Required:…

Answered: You are on a planet with an unknown…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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17. A few weeks ago in lab you were releasing gliders down a tilted frictionless air track. Assume the track surface is tilted by 18 degrees from the horizontal. The glider is released from rest at t=0, and passes through a gate, which is a distance d along the track from the starting position, 0.90 seconds later. What is d (to 2 sig.figs)? A) 1.6 m B) 4.0 m 日:18° 3.8 m D) 2.5 m E) 1.2 m 9 COS 18
A child’s pogo stick (Fig. P5.81) stores energy in a spring (k = 2.50 ×104 N/m). At position Ⓐ (x1 = − 0.100 m), the spring compression is a maximum and the child is momentarily at rest. At position Ⓑ (x = 0), the spring is relaxed and the child is moving upward. At position Ⓒ, the child is again momentarily at rest at the top of the jump. Assuming that the combined mass of child and pogo stick is 25.0 kg, (a) calculate the total energy of the system if both potential energies are zero at x = 0, (b) determine x2 , (c) calculate the speed of the child at x = 0, (d) determine the value of x for which the kinetic energy of the system is a maximum, and (e) obtain the child’s maximum upward speed.
The problem uses the ideal spring force, in one dimension. F = -kx, where x is the deviation from equilibrium, and k is the spring constant. Calculate the particle's maximum speed (vmax), with these numbers: k = 2000 N/m = 2000 kg/s2 m = 5 kg (the mass of the particle) x0 = 0.2 m (the initial position) v0 = 5 m/s (the initial velocity) The all-too-common erroneous solution: v max = A ω = x 0 k / m = 0.2 m ⋅ 20 / s = 4 m/s . Your problem: You may not understand this problem fully, and may not be able to solve it. Nevertheless, spot the egregious wrongness of the answer.
A 62 kgkg driver gets into an empty taptap to start the day's work. The springs compress 2.1×10−2 mm . What is the effective spring constant of the spring system in the taptap? Enter the spring constant numerically in newtons per meter using two significant figures.
A block is dropped onto a spring with k = 34 N////m. The block has a speed of 3.0 m/s just before it strikes the spring. If the spring compresses an amount 0.14 m before bringing the block to rest, what is the mass of the block? Answer in kg.
A spring gun has a spring constant of 50 N/m and is compressed by 5 cm. It is used to launch a ball of mass 100 g. What is the speed of the ball when it leaves the gun? The same spring gun is used to shoot the ball vertically upward. What is the maximum height reached by the ball?
As a 1.4×104 kg jet plane lands on an aircraft carrier, its tail hook snags a cable to slow it down. The cable is attached to a spring with spring constant 6.2×104 N/m. If the spring stretches 31 m to stop the plane, what was the plane's landing speed?
A ball is released from a height of 13 m and weighs 85 N. What is the magnitude |Δ?| of the total change in potential energy when the ball falls to the ground? |Δ?| J
A massive space freighter wants to accelerate at 1g. It takes time for the rocket engines to rev up, and turn up to their desired power. The freighter starts from rest, and its acceleration (until it reaches 1g) is: 3 2t 1 T 2t 3 T a(t) = – Ag - The captain wants to reach 1g at time t = T. What must A be, to satisfy a(T) = 1g? 2)
A sled, of mass 18.6 kg, is stationary when it starts to slide down an icy hill. The hill is 13.0 m tall. Assuming friction is minimal, what is the speed of the sled at the bottom of the hill? Give your answer in m/s to 1 decimal place.
A toy cannon uses a spring to project a 5.32-g soft rubber ball. The spring is originally compressed by 5.05 cm and has a force constant of 7.95 N/m. When the cannon is fired the ball moves 14.3 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.031 0 N on the ball. (a) With what speed does the projectile leave the barrel of the cannon? 1.41 m/s (b) At what point does the ball have maximum speed? cm (from its original position) (c) What is this maximum speed? m/s
Problem 2: The force F = (3.43 N)i + (4.66 N)j acts on a particle as it moves first along the x axis from x = 1.59 m to x = 8.85 m, then parallel to the y axis from y = 1.18 m to y = 6.84 m.

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