A 1.01 kg block slides on a rough horizontal table top. Just before it hits a horizontal ideal spring its speed is 3.50 m/s. It compresses the spring 5.22 cm before coming to rest. If the spring constant is 1270 Nm, what is the average frictional force magnitude between the block and the table during the collision?

A 3.08-g bullet embeds itself in a 1.7-kg block, which is attached to a spring of force constant 827-N/m. If the maximum compression of the spring is 4.45-cm, find the time of the bullet-block system to come to rest. Provide your final answer in milli seconds.

A 150 million-kg cargo ship starts from rest. The total force exerted on it by itsengines and hydrodynamic drag (in Newton) can be approximated as a function oftime in second by ΣFt = 937,500 – 0.65t2. Use the principle of impulse andmomentum to determine how fast the ship is moving in 16 minutes.

A spring is used to launch a coffee mug. The 20cm long spring can be compressed by a maximum of 8cm. The mug has a mass of 650 g. What kind of spring do you need to launch the mug at least 2 stories high (7 m) - measured from the relaxed spring position - using the maximum compression? 18219 x N/m O Show My Work (Optional) ?

A frictionless pulley is used to hoist or lower mass A (100 Kg) vertically upwards as the mass B (50 Kg) is pulled down the rough incline plane (? = 0.25, angle of inclination = 30 degrees) with a force P = 40t N parallel to the incline plane, where t is time in seconds. (a) Draw free body diagrams of mass A and B. (b) Establish the relationship between the velocity and acceleration of the particles. (c) Write down the equation of motion for the particles and determine the acceleration of particles A as a function of time. (d) Given that at t = 0, sA 10m, VA=O, determine when motion of mass A stops and the tension in the cable at that instant.

A block of mass m slides on a horizontal rough surface head on into a spring of spring constant k = 730 N/m, as shown in Figure. When the block is x = 0.8 meter away from the spring, it has a velocity v = 4.33 m/s. When the block stops, it has compressed the spring by 6.5 cm. The coefficient of kinetic friction between the block and the surface is 0.1. What is the block's mass m (in kg)? Provide your answer with 2 decimal places. Take g = 9.81 m/s2 V

can you pls also draw a picture/representation of the scenario described? Thanks so much!

A highway curve with a radius of 120 m is banked so thatthere is no lateral pressure on the wheels of a car at aspeed of 48 kph. A car weighing 17.8 kN with 1.5-mdistance between its wheels and height h = 0.70 m travelsaround the curve at 96 kph. (a) What is the normal forceon the car’s outer wheels? (b) If friction is great enough toprevent skidding, at what speed would overturningimpend?

(a) A iron block with a mass of 6.9 kg initially slides over a rough horizontal surface with a speed of 9.0 m/s. Friction slows the block to rest. While slowing to rest, 85.0% of the kinetic energy of the block is absorbed by the block itself as internal energy. What is the temperature increase of the block? (Enter your answer in degrees Celsius.)  ?°C (b) What happens to the remaining energy?  It is absorbed by the horizontal surface on which the block slides.  It vanishes from the universe.      It becomes chemical energy.  It is so minute that it doesn't factor into the equation.

As shown in the figure, a 1.5 kg box is held at rest against a spring with a force constant k = 755 N/m that is compressed a distance d. Equilibrium position rough patch 6.0 cm When the box is released, it slides across a surface that is frictionless, except for a rough patch that has a coefficient of kinetic friction 0.40 Hk and is 6.0 cm in length. If the speed of the box is 1.6 m/s after sliding across the rough patch, determine the initial compression d (in cm) of the spring. cm