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A catapult throws a projectile at a castle, but it lands 5.00 m short of the castle wall. The position of the projectile as a function of time is given by the equation
r→(t) =(21.7m/s)t i^ + [(12.5m/s)t - (4.90m/s2)t2]j^.
1) What is the average velocity of this projectile for the first 2.00 s of flight?
2) At what time is the y-component of the projectile's velocity zero?
It is proposed that future space stations create an artificial gravity by rotating, What rotation period will provide "normal" gravity
There are competitions in which pilots fly small planes low over the ground and drop weights, trying to hit a target. A pilot flying low and slow drops a weight ; it takes 2.0 s to hit the ground, during which it traveled a horizontal distance ..
to be safe the engineers making the ride want to be sure the normal force does not exceed 1.9 times each persons weight
Two small metallic spheres, each of mass 0.20 g, are suspended as pendulums with light strings from a common point as shown in the figure below. The spheres are given the same electric charge; and it is found that they come to equilibrium when each s..
question1a 67 human sprinters can accelerate from rest to 11 in 3.0. throughout the similar interval a 32 greyhound can
A 24 g ice cube at its melting point is felled into an insulated container of liquid nitrogen. How much nitrogen evaporates if it is at its boiling point of 79 K and has a latent heat of vaporization of 200 kJ/kg? Suppose for simplicity that the spec..
A typical power plant uses some fuel as the source of heat (QH) to drive a heat engine that does work (W) to drive a generator that is connected to the electrical grid. Inevitably, waste heat (QC) is dumped into a river or lake. Analysis of the pl..
A particle with charge ?2 µC is located on the x-axis at the point 4 cm, What is the magnitude of the total electrostatic force on a third particle with a charge of -2 µC placed on the x-axis at -2 cm
A spinning disk of mass 5.0 kg and radius 0.25m is rotating about an axis through its center at 400 rev/min. a.) What is the angular velocity of the disk in rad/s?
A movie camera with a (single) lens of focal length 90 mm takes a picture of a person standing 21 m away. If the person is 180 cm tall, what is the height of the image in millimeters
At a time t = 3.40s , a point on the rim of a wheel with a radius of 0.210m has a tangential speed of 53.0m/s as the wheel slows down with a tangential acceleration of constant magnitude 11.0m/s2. Calculate the wheel's constant angular accelerat..
What is the relative luminosity of a star which is the same size as the Sun but has twice the surface temperature (11600 K, or 12000 K)? only one-half the surface temperature (2900 K)?
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