The next few questions challenge you to figure out the acceleration due to gravity ( g ) on various hypothetical alien planets. On MArs, you drop a stone from rest, 91.4 m above the ground, and the stone hits the ground 6.93 s later. What is the value of g on Mars?
Here,
let the value of g is g
Using second equation of motion
as displacement = u * t + 0.50 * g * t^2
t is the time of falling
91.4 = 0.50 *g * 6.93^2
g = 3.81 m/s^2
the value of g at Mars is 3.81 m/s^2
The next few questions challenge you to figure out the acceleration due to gravity ( g...
You are on a planet with an unknown acceleration due to gravity. You drop an object from rest and a height 1.1 metres, and measure the final speed 5.6 m/s as the object hits the ground. Using the Principle of Conservation of Energy, calculate the magnitude of the acceleration due to gravity. Use 2 sf in your answer.
On Mars, where the acceleration due to gravity is 3.8 m/s2, a 500 gram ball is thrown from a cliff that is 30 m above the ground at a speed of 22 m/s. The ball lands 45 m away from the base of the cliff. What is the speed of the ball just before it hits the ground?
A tennis ball on Mars, where the acceleration due to gravity is 0.379 of a g and air resistance is negligible, is hit directly upward and returns to the same level 9.20 {\rm s} later. How high above its original point did the ball go? and How fast was it moving just after being hit?
You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. Clearly, you’ve been abducted in your sleep! You’re immediately aware that the local gravity feels different from what you’re accustomed to, so it’s clear you’re not at rest on the surface of the Earth. You decide to do some experiments to find out more about your strange situation. Fortunately, there seems to be some measuring equipment in the room...
SECTION2 You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. Clearly you've been abducted in your sleep! You're immediately aware that the local gravity feels different from what you're accustomed to, so it's clear you're not at rest on the surface of the Earth. You decide to do some experiments to find out more about your strange situation. Fortunately there seems to be some measuring equipment in the...
** Assume the acceleration gravity g=10 m/s2 in ALL questions. Problem 1 In the figure shown below, a block of mass m - 2.0 kg is released from rest at point A and slides down a frictionless track to point B. Then, the block continues its motion and leaves the AB track horizontally from point B to hit the ground at point C. (12 points) a) Calculate the speed of the block at point B. 25 m B 5 m...
The next TWO questions apply to the following: To demonstrate that the acceleration of gravity is constant for all objects, Galileo climbs to the top of the Leaning Tower of Pisa and drops a 2.0 kg pebble from a height of 59 m, hoping that the effects of air resistance will be small 13. When the experiment is actually done, the pebble hits the ground with a speed of 29.0 m/s, having been slowed some by air resistance. In this...
SECTION2 You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. Clearly you've been abducted in your sleep! You're immediately aware that the local gravity feels different from what you're accustomed to, so it's clear you're not at rest on the surface of the Earth. You decide to do some experiments to find out more about your strange situation. Fortunately there seems to be some measuring equipment in the...
6. A tennis ball on Moon, where the acceleration due to gravity is 1/6 g (g- -9.8) and air resistance is negligible, is hit directly upward and returns to the same level 8.5 s later, (a) How high above its original point did the ball go? (b) How fast it moving just after it was hit?
2: For this problem the heights are low enough that the acceleration due to gravity can be approximated as -g. (Note: even at low Earth orbit, such as the location of the International Space Station, the acceleration due to gravity is not much smaller then g. The apparent weightlessness is due to the space station and its occupants being in free-fall.) A rocket is launched vertically from a launchpad on the surface of the Earth. The net acceleration (provided by...