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Illustrate on the equations of gravitational potential energy and elastic potential energy as the quantities vary, for instance double or triple the value of quantities.
1. A car starts from rest and attains a speed of 40 m/s in 20 s. its average acceleration in m/s2 is
A 400 kg mass on 30∘ inclined plane is acted upon by a force equal to 4800 N at an angle 30∘ with the incline as shown in the figure below.
a) Find the acceleration of the mass if the incline is frictionless
b) Find the acceleration of the mass if the coefficient of fiction between the mass and inclined plane is μk=0.2
Determine the net capacitance of each of the circuits (a) and (b) shown in the diagram
below given that C1=1.0pF, C2=2.0pF and C3=4.0pF.
b. Find the charge on each capacitor in circuit (b) assuming there is a potential difference of
12.0 V across the circuit.
What is the specific heat capacity of a 10, k, g,
10kg object that needs 2, point, 1, times, 10, to the power 5 , J,
2.1×105
J to have its temperature raised by 5, point, 0, degrees, C,
5.0∘
C?
A load of 60kg is pushed up a 400m inclined plane of a platform 3m high, what is the velocity ratio of the plane
The brakes of a 1000-kg car exert 3000 N. (a) How long will it take the car to come to a stop from a velocity
of 30 m/s? (b) How far will the car travel during this time
6. A house wall consists of a 10 cm thick layer of brick (𝜅 = 0.68 𝑊𝑚−1𝐾
−1
), a 15 cm
thick layer of fiberglass insulation (𝜅 = 0.038 𝑊𝑚−1𝐾
−1
), and a 1 cm thick layer of
gypsum board (𝜅 = 0.48 𝑊𝑚−1𝐾
−1
). The interior surface temperature is 22℃ and exterior
surface temperature is 5 ℃.
(a) What is the overall R-value of this wall?
(b) What is the heat flux through this wall?
Block 1 and block 2, with masses m1 = 5 kg and m2 = 2 kg, are connected by a system of
massless, inextensible ropes and massless pulleys as shown in Fig. 2.
(a) (Marks: 2) Draw the complete free body force diagram of
the system.
(b) (Marks: 4) Solve for the accelerations of block 2 and block
1. Assume that downward direction is positive.
(c) (Marks: 2) Calculate the tensions in each rope.
Gold has a face centered cubic unit cell and has the density 𝟏𝟗. 𝟑 𝒈 𝒄𝒎−𝟑 . Calculate the length along an edge. (𝐴𝑢 = 197 𝑔 𝑚𝑜𝑙 −1 )
