A toddler with a mass of 14.4 kg bounces up and down in her crib. The crib mattress behaves like a light spring with force constant 1840 N/m. (a) The toddler bounces with at a frequency that allows her to reach a maximum amplitude with minimum effort. What is this frequency (in Hz)? Hz (b) The toddler now bounces high enough to lose contact with the mattress once each cycle, like a trampoline. What is the minimum amplitude of oscillation (in cm) required for this to occur? cm
Q: A baby bounces up and down in her crib. Her mass is 13.0 kg, and the crib mattress can be modeled as…
A: Using formula, K = mw2556 = 13 (2πf)2 6.54 = 2πff = 1.04 Hz (frequency)
Q: A 17.2-kg mass is attached to a horizontal frictionless spring. The system has a spring with a…
A:
Q: An automobile having a mass of 1,000 kg is driven into a brick wall in a safety test. The bumper…
A: Given: mass of automobile, m = 1000 kg Spring constant, K = 5.85 × 106 N/m Compression of spring, x…
Q: My pickup truck as a weight of 4500 lbs and a bed capacity of 1000 lbs. When I drive along a bumpy…
A:
Q: An object is hung on a vertical spring originally at rest and set to start bobbing up and down by…
A: Given:mass of the object = 250 gSpring constant = 10 N/m
Q: A M =7 kg mass is moving at vo = 8 m/s along a frictionless, horizontal = 800 N/m that is attached…
A:
Q: PROBLEM 3: A particle executes simple harmonic motion with an amplitude of 3.00 cm. At what…
A: Note: As per the guidelines, we can only answer first question of multiple questions. Sorry for the…
Q: Invalid path. A 9.00 kg object oscillates at the end of a vertical spring that has a spring constant…
A: Scenario: A vertical spring carrying mass at one end is oscillating under the effect of air…
Q: The spring in a spring gun has a force constant k = 600. N/m. It is compressed 2.5 cm from its…
A: we can use the principle of conservation of energy to find the speed of ball . The potential energy…
Q: The displacement of a block attached to a horizontal spring whose spring constant is 14N/m is given…
A: The displacement is given as x=0.7 m×cos2.8st-0.8 The general equation for displacement is x=A…
Q: An undamped 2.98 kg2.98 kg horizontal spring oscillator has a spring constant of 31.6 N/m.31.6 N/m.…
A: mass m is 2.98 kgvmax is 3.78 m/secspring constant k is 31.6 N/m
Q: An automobile having a mass of 1,000 kg is driven into a brick wall in a safety test. The bumper…
A: Given: The mass of the automobile is = 1000 kg The spring constant of the bumper is = 4.05×106 N/m…
Q: A suspension bridge oscillates with an effective force of 1 * 10^8 N/m. How much energy is needed…
A: It is given that
Q: A cart with mass m = 2.2 kg is attached to a spring with k = 48 N/m and undergoes a simple harmonic…
A: Mass of the cart is m = 2.2 kg Spring constant of the spring is k = 48 N/m Amplitude of the…
Q: A 0.5-kg object connected to a spring with a force constant of 40.0 N/m oscillates on a frictionless…
A:
Q: The total mechanical energy in a system consisting of a block attached to a spring is 14.0 J. The…
A: Given data: Mass of the block= 0.75 kg Spring constant= 110 N/m Total mechanical energy= 14 J As the…
Q: Delia has to measure the mass of some object. She has a spring with a known spring constant of 3.50…
A: Given that: Spring constant: k=3.50 N/m Mass of basket= M Mass of unknown mass= m Time period when…
Q: (a) If the spring stretches 0.26 m while supporting an 8 kg child, what is its spring constant? m…
A:
Q: A block attached to a spring undergoes simple harmonic motion on a horizontal, frictionless surface.…
A: The objective of the question is to find the kinetic energy of a block attached to a spring when the…
Q: A 1.2 kg block sliding at 5.4 m/s on a frictionless surface runs into and sticks to a spring. The…
A: The objective of the question is to determine the amplitude of the vibrations that start after the…
Q: A simple pendulum has a period of 4.1 s and an amplitude of 5.0 cm. The mass of the bob is 5 g.…
A:
Q: A horizontal spring is attached to a mass on a frictionless horizontal surface. The spring constant…
A: Given,
Q: Physics Create a graph of Displacement vs Time for a horizontal spring-mass oscillator released…
A: .
Q: ur response differs from the correct answer by more than 10%. Double check your calculations. m/s )…
A: GIVEN Mass m = 0.59 kg Spring constant k = 22.6 N/m Amplitude a = 4 cm = 4 × 10-2 m
Q: An automobile having a mass of 1,000 kg is driven into a brick wall in a safety test. The bumper…
A:
Q: A 2.0 kg object is attached to a horizontal spring of force constant 8.0 N/m. The object is started…
A: When the damping force is proportional to the velocity of the oscillator, then the differential…
Q: A baby bounces up and down in her crib. Her mass is 13.0 kg, and the crib mattress can be modeled as…
A:
Q: A 0.900 kg block sliding on a horizontal frictionless surface is attached to a horizontal spring…
A:
Q: An undamped 1.83 kg horizontal spring oscillator has a spring constant of 21.5 N/m. While…
A: Given the data in the question;Mass of the undamped : 1.83Spring constant; K = 21.5 N/m Speed; v =…
Q: A mass of 0.78 kg is is initially traveling at across a horizontal surface. It then reaches a spring…
A:
Q: A 500-g object connected to a light spring with a spring constant of 10.0 N/m sits on a frictionless…
A:
Q: A 240 g air-track glider is attached to a spring. The glider is pushed in 9.60 cm and released. A…
A:
Q: An object of mass 100 grams hangs from a long spring. When pulled down 10 cm from itsequilibrium…
A: First, let's identify the given values from the question:Mass of the object (m) = 100 grams = 0.1 kg…
Q: A simple pendulum has a period of 2.7 s and an amplitude of 5.0 cm. The mass of the bob is 5 g.…
A: Given data: Period (T) = 2.7 s Amplitude (A) = 5 cm Mass of the bob (m) = 5 g Need to determine the…
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
- To test the resiliency of its bumper during low-speed collisions, a 4 490-kg automobile is driven into a brick wallI. The car's bumper behaves like a spring with a force constant 6.00 x 106 N/m and compresses 3.36 cm as the car is brought to rest. What was the speed of the car before impact, assuming no mechanical energy is transformed or transferred away during impact with the wall? m/sIf the effective spring constant of a 2000 kg older car (with poor shocks) is 560000N/m, what is the period of its vibration after hitting a bump? What is the effective spring constant of a 10kg, 1.5 m simple pendulum? When a ball is suspended from a spring, the spring stretches by 8 cm. What is the frequency of the ball if it oscillates up and down?A spiral staircase wind up to the top of the tower in an old castle. To measure the height of the tower, a rope is attached to the top of the tower and hung down the center of the staircase. However, nothing is available with which to measure the length of the rope. Therefore, at the bottom of the rope a small object is attached so as to form a simple pendulum that just clears the floor. The period of the pendulum is measure to be 6.53 s. What is the height of the tower?
- A car with a total mass of 1700 kgkg (including passengers) is driving down a washboard road with bumps spaced 4.1 mm apart. The ride is roughest—that is, the car bounces up and down with the maximum amplitude—when the car is traveling at 6.4 m/s. What is the spring constant of the car’s springs?A 0.4 kg block hangs from a spring with a spring constant of 17 N/m. At t=0s the block is 0.3 m below the equilibrium point and moving upward with a speed of 1.6 m/s. What is the block's oscillation frequency (in Hz)?An undamped 2.10 kg horizontal spring oscillator has a spring constant of 28.9 N/m. While oscillating, it is found to have a speed of 2.86 m/s as it passes through its equilibrium position. What is its amplitude A of oscillation? A = What is the oscillator's total mechanical energy Etot as it passes through a position that is 0.651 of the amplitude away from the equilibrium position? Etot m = J
- What is the frequency, in Hertz, of a simple pendulum if it has a length of 3.65 m? Assume that the pendulum is on a planet where the acceleration due to gravity is 12.52 m/s2.AsapAn apple weighs 1.04 NN. When you hang it from the end of a long spring of force constant 1.54 N/mN/m and negligible mass, it bounces up and down in SHM. If you stop the bouncing and let the apple swing from side to side through a small angle, the frequency of this simple pendulum is half the bounce frequency. (Because the angle is small, the back and forth swings do not cause any appreciable change in the length of the spring.) What is the unstretched length of the spring (i.e., without the apple attached)? Express your answer with the appropriate units.
- A mass of 0.43 kg is is initially traveling at across a horizontal surface. It then reaches a spring with a fixed end having a spring constant of 138 N/m that is positioned horizontally and initially at equilibrium. If the initial speed of the mass is 3.81 as it contacts the spring, what is the speed of the mass after compressing the by 0.153 m if the coefficient of kinetic friction is between the surfaces is 0.47 ?A block of mass m = 11.54 kg on a rough horizontal surface is attached to a light spring with spring/force constant k = 2.17 kN/m with the other end fixed. The block is pulled xi = 7.66 cm to the right from the equilibrium point and released from the rest. The coefficient of kinetic friction between the block and the rough horizontal surface is μk = 0.2. When the block passes through the equilibrium point, what is the velocity of the block vf in m/s? Keep three significant figures for the answer. g = 9.80 m/s2.