13t² t (t) = 64-100 543 M If the mass, m=1.6 kg, calculate the speed at...
A playground ride consists of a disk of mass M =40 kg and radius R=1.6 m mounted on a low-friction axle (see figure below). A child of mass m=22 kg runs at speed v =2.6 m/s on a line tangential to the disk and jumps onto the outer edge of the disk. R We were unable to transcribe this image
12) Suppose that an Iowa class battleship has mass around 52,000 metric tons (52,000,000 kg) and a k-value in the equation of about 60,000 kg/s, where v is the ship's velocity, is the initial velocity, m is the mass, k is a constant of proportionality, and t is time. Assume that the ship loses power when it is moving at a speed of 9 m/s a. About how far will the ship coast before it is dead in the water?...
DIFFERENTIAL EQUATION PROBLEM An object with a mass of 2 kg moves along the x-axis and we will assume that the positive direction of movement is to the right. Only one force (in N) is present and opposes the movement. Let be the speed of the object (in m / s) at time t. The object starts from the origin (x = 0) with an initial speed of 75 m / s. Suppose that the resistance force has a magnitude...
4: Suppose the mass of a rocket just as it runs out of fuel is 75550-kg, and its exhaust speed is 2.7 × 103 m/s. Calculate the maximum rate, in kilograms per second, at which the rocket can expel gases, if its acceleration cannot exceed seven times that of the gravitational acceleration on the surface of the Earth. Assume the gravitational force on the rocket is negligible. R = | We were unable to transcribe this imageWe were unable to...
A ball is thrown straight up at speed in the presence of gravity. (a) Ignoring air resistance at first, what is the maximum height the ball reaches? (b) Now include Newtonian (quadratic) air resistance, with drag coefficient c. Letting the direction point upwards, write down the equation of motion (be careful with the signs). (c) Solve the equation of motion to find v(t)(= (t)). Remember to check that v(0) = . (d) Without integrating anything yet, calculate the time at...
What is the speed of a wave described by y ( x , t ) = A cos ( k x − ω t ) if A = 0.13 m, k = 5.13 m − 1 , and ω = 130 s − 1 ? y(x,t)-A cos(kr - wt) We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this...
A car with mass mc = 1385 kg is traveling west through an intersection at a magnitude of velocity of vc = 10.5 m/s when a truck of mass mt = 1984 kg traveling south at vt = 12.6 m/s fails to yield and collides with the car. The vehicles become stuck together and slide on the asphalt, which has a coefficient of friction of μk = 0.5. 50% Part (a) Write an expression for the velocity of the system...
A mass on a spring has a period T = 1.6 seconds and a mass m = 2.6 kg. What is the spring constant of this spring? A mass on a spring has a period T = 1.6 seconds and a mass m = 2.6 kg. What is the spring constant of this spring? 20. kg/s none of these 6.4 kg/s 64 kg/s 128 kg/s
Calculate the mass percent, % (m/m), for the solute in each of the following solutions. We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Problem 1: A child on a bicycle has a linear momentum of magnitude P = 1151 kg⋅m/s. The child and the bicycle together have a combined mass of m = 110 kg. 33% Part (a) Write an expression for the child's speed, v, in terms of the variables given in the problem statement. v = | α β θ a b d g h i j k m P S t ( ) 7 8 9 HOME ↑^ ^↓ 4...