A student is making an "accelerometer" by hanging a pendulum in a car. She wants to determine the acceleration, a, of the car based on the angle, 0, the the pendulum makes with the vertical. The pendulum has a bob of mass m. Assume the windows are rolled up. Hint: Solve in terms of variables then plug in.

3. An object is stuck at the origin. To get the object free, two forces are applied to the object. The first force, F, extends from the origin to position (-8,2). The second force, F2, acts on the object with a magnitude of 8 Newtons in the direction of 30°. You may assume units of distance are in meters. Represent the two force vectors, F and F2, in component form. Leave all answers in exact а. form. b. Draw a sketch of the two force vectors on the graph to the right. -5- с. If these two forces together free the object, in what direction and with what magnitude would the object travel? Round to one decimal -5 place as needed. -5

Problem 3: Amass is sliding on a frictionless surface with a speed v. It runs into a linear spring with a spring constant of k, which compresses from position x; to position xp. m ©theexpertta.com Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of the spring to be x=0. Fspring =-kx / Correct! Part (b) Select the equation that correctly describes the work done by the spring to stop the mass. Ow=-kx? OW=- *fk x dx + , m v OW=-kx dx Ow= f *f k x dx OW= - *k x dx - , m v? OW = - * F x dx Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Part (c) Evaluate the relationship in part (b) to arrive at an expression for the work done in terms of known variables. Part (d) Solve for the numerical value of the work done in Joules given that x; = 0, x = 68 cm, and k= 145 N/m. W = - 33.5 W = -33.5 / Correct!

Shown to the right is a block of mass m resting on a frictionless ramp inclined at an angle to the horizontal. The block is held by a spring that is stretched a distance d after the block is attached to it. E k= e wwwwww ▷ A Write an equation for the force constant of the spring in terms of the variables from the problem statement (m, 0, and d). Use g for the gravitational constant.

The heaviest invertebrate is the giant squid, which is estimated to have a weight of about 0.20 tons spread out over its length of 36 feet. What is its weight in newtons? Incorrect: Your answer is incorrect. Your response differs significantly from the correct a

A hemispherical bowl having a radius of 6.2m is full of water. If the hemispherical bowl is made to rotate uniformly about the vertical axis at the rate of 30 rpm.   a) Determine the volume of water that is spilled out. Answer in m3   b) Determine the remaining volume of water in the hemispherical bowl. Answer in m3

A baseball of mass m= 0.35 kg is spun vertically on a massless string of length L = 0.93 m. The string can only support a tension of Tmax= 10.6 N before it will break. Randomized Variables m = 0.35 kg L = 0.93 m Tmax= 10.6 N Part (a) What is the maximum possible speed of the ball at the top of the loop, in meters per second? Part (b) What is the maximum possible speed of the ball at the bottom of the loop, in meters per second?

Two blocks of masses m, = 4.0 kg and mg = 8.0 kg are connected with a string that passes over a very light pulley (Figure 1). Friction in the pulley can be ignored. Block 1 is resting on a rough table and block 2 is hanging over the edge. The coefficient of friction between the block 1 and the table is 0.70 (assume static and kinetic friction have the same value). Block 1 is also connected to a spring with a constant 300 N/m. In the initial state, the spring is relaxed as a person is holding block 2, but the string is still taut. When block 2 is released, it moves down for a distanced until it stops (the final state). Figure 1 of 1

Help. I cannot figure this out! A chandelier hangs h = 0.52 m down from two chains of equal length. The chains are separated from one another by a length L = 0.75 m at the ceiling. The chandelier has a mass of m = 19 kg. Write an expression for FT,y, the magnitude of the y-component of the tension in one chain, in terms of the given information and variables available in the palette.

For part 1, assume m₁ =100 g, m2=90 g, m3 = 100 g, 01-27°, and 02=26°, what does T1x+T2x+T3x equal to? Enter your answer up to 1/1000 N accuracy. Pay attention to the sign of your answer. Your Answer: Answer units Question 9 (2 points) = For part 1, assume m₁ =100 g, m2=90 g, m3 100 g, 01-26°, and 02-27°, what does T1y+T2y+T3y equal to? Enter your answer up to 1/1000 N accuracy. Pay attention to the sign of your answer. Your Answer: