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A two point system consists of two masses, m and 2m, separated by a distance d. If mass m is replaced by a mass 3m and is kept at a distance d/2, what are the ratios of the gravitational potential energy of the two systems?
Calculate the angular velocity (in rad/s) of Venus about its axis of rotation.
A car has a drag coefficient C_{d} = 0.30
Cd
=0.30, a frontal area of A=1.9 m
2
and a mass 1.2 tonnes. The density of air is 1.2 kg.m^{-3}
−3
.
i) What is the drag force when it is traveling at v=110 kph
in a straight line? F_{drag} =
Fdrag
= _____ N
.
Hint: Retain accurate values until the final calculation, but remember significant figures.
A rubber band has mass m=0.30 g
and a spring constant k=15 N.m
−1
. I stretch it by 5.0 cm
(which in this case doubles its length). Assume the rubber band behaves as a Hooke's law spring. Assume that, when you launch the rubber band, all of the stored potential energy is converted into kinetic energy. How fast is it at the launch?
v =
v= _____ m.s
−1
.
I drag a mass m=21 kg
in a straight line, along a horizontal surface, a distance D=23 m
. I drag it at constant speed v=0.90 m.s in a straight line using a horizontal force. The coefficients of friction are \mu_{s} = 1.2 μs=1.2 and μk =1.1. How much work do I do? W =
W= _____ J
.
Three towns A, B, C are situated such that /AB/=25km and /AC/=30km. The bearing of B from A is 56°and bearing of C from A is 282°. Calculate the bearing of B from C
Three towns A, B, C are situated such that /AB/=25km and /AC/=30km. The bearing of B from A is 56°and bearing of C from A is 282°. Calculate the distance /BC/
City A is 300km due east of City B. City C is 200km on a bearing of 123° from City B. How far is it from City C to City A?
Two concrete spans,of a 250m long bridge,are placed end to end so that there is no room allowed for expansion.If a temperature increase of 20.0°C occurs,what is the height y to which the spans rise when they buckle?
A lab sample of gas is taken through cycle abca .The net work done on the gas is -1.2J.Along path ab,the change in internal energy is +3.0J and the work done on the gas is -5.0J.Along path ca,the energy transferred to the gas as heat is +2.5J.
(a). Determine the energy transferred to the gas as heat along path ab.
(b). Determine the energy transferred to the gas as heat along path bc.
