The side of the metallic sheet of uniform thickness is 30cm. If a square 10cm x 10 cm is cut from the corner, find the center of gravity of the remaining portion.
In the figure below, m1 = 6 kg, and m2 = 4 kg,. When the system is moving, the tension in the string is observed to be 30 N. What is the coefficient of kinetic friction between m1 and the table top?
6. A football player makes the opening kickoff and kicks the football with an initial velocity of 28 m/s at an angle of 40° above horizontal. Determine the range of the football.
A ball of mass m is dropped from a height h above the ground. Neglecting air resistance, (a) determine the speed of the ball when it is at a height y above the ground. (b) Determine the speed of the ball at y if at the instant of release it already has an initial upward speed vi at the initial altitude h.
A boy pushes a tin box along the floor with a force of 40 N that makes an angle of 30° with the horizontal. Find the horizontal and vertical components of the force.
A squirrel has x- and y-coordinates (1.1 m, -0.5 m) at time t1 = 0 sec and coordinates (5.3 m, 3.4 m) at time t2 = 3.0 sec. For this interval, find (a) the components of average velocity; (b) the magnitude and direction of average velocity.
Question
3. Corrosion of motor cars is a greater problem in winter when salts are spread on roads to melt ice and snow. Why?
How can you throw a projectile so that it has zero speed at the top of its trajectory? So that it has nonzero speed at the top of its trajectory?
Determine which of the following moving objects obeys the equations of projectile motion: (A) A ball is thrown in an arbitrary direction. (B) A jet airplane crosses the sky with its engine thrusting the plane forward. (C) A rocket leaves the launch pad. (D) A rocket moves through sky after its engines have failed. (E) A stone is thrown under water.