Concept explainers
(a)
The center of mass of the you-raft system from the end of the pier when you are at the very rear.
(a)
Answer to Problem 138P
The center of mass of the you-raft system from the end of the pier when you are at the very rear is at
Explanation of Solution
Given:
Length and mass of the raft are
Your mass is
Formula used:
The edge of the pier is taken as the origin and the right side of the pier is taken as positive
Figure:
In the figure
Figure:
The center of mass of the you-raft system (
Where,
Calculation:
By substituting numerical values in equation
Conclusion:
The center of mass of the you-raft system from the end of the pier when you are at the very rear is at
(b)
The center of mass of the you-raft system from the end of the pier when you are at front
(b)
Answer to Problem 138P
The center of mass of the you-raft system from the end of the pier when you are at front is at
Explanation of Solution
Formula used:
Where,
Calculation:
The distance of the raft from the pier after you have walked to the front of the raft is,
Because
Since,
Substituting
By substituting the numerical values in the above equation,
Substituting this value in equation (4),
Conclusion:
The center of mass of the you-raft system from the end of the pier when you are at front is at
(c)
The distance between you and the end of the pier when you are at the front of the raft.
(c)
Answer to Problem 138P
The distance between you and the end of the pier when you are at the front of the raft is at
Explanation of Solution
Formula used:
Where,
Calculation:
Substituting numerical values in equation in equation
Conclusion:
The distance between you and the end of the pier when you are at the front of the raft is at
Want to see more full solutions like this?
Chapter 5 Solutions
Physics for Scientists and Engineers
- If 1 of the Earth’s mass were transferred to the Moon, how far would the center of mass of the Earth-Moon-population system move? The mass of the Earth is 5.971024kg and that of the Moon is 7.341022kg . The radius of the Moon’s orbit is about 3.84105m .arrow_forwardFind the center of mass of a thin wire of mass in and length L bent in a semicircular shape. Let the origin be at the center of the semicircle and have the wire arc from the +x axis, cross the +y axis, and terminate at the -x axis.arrow_forwardWhere is the center of mass of a semicircular wire of radius R that is centered on the origin, begins and ends on the x axis, and lies in the x, y plane?arrow_forward
- Calculate the location of the center of mass of a thin uniform meter stick of mass 70.0 g, on which at attached two masses, 1.20 kg at 0.00 cm position, and 2.30 kg at the 100 cm position.arrow_forwardA car is initially traveling at a speed of 90 km/h, suddenly brakes so that the speed becomes 36 km / h in an interval of 6 s. If style that stops the car at 3200 N, what is the mass of the car?arrow_forwardthe driver of a car on a horizontal road makesan emergency stop by applying the brakes so that all four wheelslock and skid along the road.The coefficient of kinetic friction betweentires and road is 0.40.The separation between the front andrear axles is L = 4.2 m, and the center of mass of the car is locatedat distance d =1.8 m behind the front axle and distance h = 0.75 mabove the road. The car weighs 11 kN. Find the magnitude of (a)the braking acceleration of the car, (b) the normal force on eachrear wheel, (c) the normal force on each front wheel, (d) the brakingforce on each rear wheel, and (e) the braking force on eachfront wheel. (Hint: Although the car is not in translational equilibrium,it is in rotational equilibrium.)arrow_forward
- The motorcycle has a mass of 0.5-Mg and a negligible size. Itpasses point ‘A’ traveling with a speed of 15m/s, which isincreasing at a constant rate of 1.5m/s2. Determine the resultant frictional force exerted by the road on the tires at this instant.arrow_forwardA loaded truck with a mass of 3 tonnes traveling north at 60 km/h collides with a 1 tonne mass truck, travelingeast at 90 km/h at a junction. Calculate in which direction and how far the car is dragged by the truck, knowingthat the coefficient of kinetic friction at the accident site is 0.5.arrow_forwardA tractor enters at a downward slope of 2 by one hundred traveling at 108 km / h and must slow down to 72 km / h in 300 m. The cab has a mass of 1 800 kg and the trailer 5 400 kg. Determine a) the average braking force to be applied, b) the average force exerted on the coupling if 70 percent of the braking force is provides the trailer and 30 percent the cab.arrow_forward
- A nucleus that captures a stray neutron must bring the neutronto a stop within the diameter of the nucleus by means of thestrong force. That force, which “glues” the nucleus together, is approximatelyzero outside the nucleus. Suppose that a stray neutronwith an initial speed of 1.4 * 107 m/s is just barely captured by anucleus with diameter d = 1.0 * 10-14 m. Assuming the strongforce on the neutron is constant, find the magnitude of that force.The neutron’s mass is 1.67 * 10-27 kg.arrow_forwardff mass of emply pan in Felde's expt is (mo) when (m₁) mass is kept in it the numbee of loops are found to be (p.) when mass is added in pen a number of loops are (kr). Both arrangements are in transverse position. Then mass of empty pan intens of buk₂ m, & m₂ is M₂ 2 @m₁p₂²_m₂b, 2 2 2 +6²_p₂² © (5²-62²) (m₂p₂²2² - m₁ b₁²) (b) m₂ p₂²-m₁p,² b₁²-p₂² d 2 (B₂²-b₁²) (m, p²-m, p²)arrow_forward10. Find the center of mass of a thin plate of constant density & covering the region bounded by the parabola y = 3-x² and the line y = -1.arrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University