If the block has to slide down the incline with an acceleration of 1.1 m/s2, what should be the value of m₂ (in kg)? m₂ = kg

q2.4

You drop an object of mass m from a tall building. Suppose the only forces affecting its motion are gravity, and air resistance proportional to the object's speed with positive constant of proportionality k. Let g denote gravitational acceleration (a positive constant). Express the total force in terms of m, g, and the object's velocity v, where upward displacement is considered positive. F = mg - kv Newton's second law tells us that force is equal to mass x acceleration, F = ma. Relating acceleration to velocity, rewrite the equation for total force above as a first order differential equation for v as a function of t. Denote v' as dv dt v(t) m(- dr) this is not an equation. Solve this differential equation for v(t) with the initial condition v(0) = V0. = mg (1-e ==) m k Find the terminal Terminal velocity = mg k X velocity. X syntax error: X X

Fnorm (normal force) = __________ N Ffrict (force of friction) = __________ N m (mass) = _________ kg a (acceleration) = __________  m/s/s ΣF (net force) = __________ N

A worker pulls a 15-kg crate in a straight line on a level surface by imparting a horizontal tension of 80 N to the free end of a cable whose other end is attached to the crate. If the coefficient of static friction is 0.40, what is the acceleration of the crate?

A coin is resting on the surface of a closed book. As you slowly open the cover, the coin remains in place (it doesn't slide). When the book's cover is open 14 degrees, the coin finally starts sliding down. What is the coefficient of static friction between the book and the coin?   Answer to 3 decimal places (e.g. 0.123).

Weight can be measured as the downward force an object exerts due to its mass times the gravitational pull of the Earth. A rock from the moon weighs 6.57 Newtons on Earth. How much did this rock weigh on the moon? The moon has a gravitational acceleration of 1.622 m/s.

A student is pulling a crate with a mass of 66.6 kg along a horizontal frictionless floor with a rope that’s inclined at an angle θ = 30.0° above the horizontal as shown. The tension force is measured to be 239 N. What is the magnitude of the normal force on the crate from the floor, in Newtons? Use g = 10.0 m/s2.    Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

Jennifer is walking at 1.22 m/s. If Jennifer weighs 552 N, what is the magnitude of hermomentum?A) 97.0 kg  m/sB) 137 kg  m/sC) 68.6 kg  m/sD) 672 kg  m/sE) 951 kg  m/s

Blocks 1 and 2 are moving to the right on a frictionless surface by the tension TB = 36 N as shown. m1 = 2.0 kg, and m2 = 3.2 kg. What is the magnitude of the acceleration of block 2, in m/s²? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. m₁ TA m₂ TB