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An 80cm simple pendulum makes 28 complete swings in 45 seconds on an unknown planet. What is the gravitational acceleration of the planet?

A 0.75kg mass vibrates according to the equation x=0.65 cos(7.35t). Determine the a) amplitude b) frequency c) period and d) spring constant?

A spring with a constant of 100N/m vibrates at 25Hz. What is the frequency of vibration of a spring with a constant of 400N/m?

A fast train traveling at 22.0 m/s trails behind a slower train traveling at 16.0 m/s. The fast train is 150 m behind that of the slower train when it started to stop. The fast train then started to accelerate at 0.120 m/sΒ², opposing its velocity. Will the trains collide?

Explain how pure metal and semi conductor can be distinguished through the effect of temperature on their electrical resistance.

Β A long jumper moving horizontally with a speed of 5.3 m/s has a kinetic energy of 235 J. Calculate the mass of the jumper.


A planet orbiting a distant star has a radius 3.24 Γ— 106 π‘š. The escape speed for an object launched from this planet’s surface is 7.65 Γ— 103 π‘š/𝑠. What is the acceleration due to gravity at the surface of the planet?


Rhea, one of Saturn’s moons, has a radius of 764 π‘˜π‘š and an acceleration due to the gravity of 0.265 π‘š/𝑠 2 at its surface. Calculate its mass and average density.Β 


At what distance above the surface of the earth is the acceleration due to the earth’s gravity 0.980 π‘š/𝑠 2 if the acceleration due to gravity at the surface has a magnitude of 9.80 π‘š/𝑠 2 ?


Three uniform spheres are fixed at the positions shown in Figure 90. (a) What are the magnitude and direction of the force on a 0.0150-π‘˜π‘” particle placed at 𝑃? (b) If the spheres are in deep outer space and a 0.0150-π‘˜π‘” particle is released from rest 300 π‘š from the origin along a line 45 below the – π‘₯-axis, what will the particle’s speed be when it reaches the origin?


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