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A particle of mass 2.5kg is suspended from a fixed point by a light inextensible string of length 1.8m.the particle moves in a horizontal circle on a smooth floor. calculate the angular speed of the particle if the tension in the string is 28 N
Two interfering sinusoidal waves are described by the wavefunctions: y1 = A sin(kx-ωt) and y2 = A sin(kx-ωt+φ). If φ cannot exceed π/2 (0 ≤ φ ≤ π/2), then which of the following is true about the resultant amplitude Ares?
A√2 ≤ Ares ≤ 2A
A√2 ≤ Ares ≤ 2A√2
A ≤ Ares ≤ 2A
A ≤ Ares ≤ A√2
A stone is thrown upward and reaches a height of 19.6 meters. With what initial velocity was it thrown?
When a car is running with a velocity of 50 m/s, it is given a constant acceleration of 5 m/s². Find the displacement of the car 2 seconds later.
A truck driver is driving at a velocity of 60 km/h. He sees a danger ahead and steps on his brakes. He stop the truck in exactly 5 seconds. How far does he go before coming to a stop?
A car has a "lateral acceleration" of 8.5 m/s². This represents the maximum centripetal acceleration that can be attained without skidding out of the circular path. If the car is traveling at a constant 40 m/s, what is the minimum radius of curve it can negotiate? (Assume the curve is unbanked).
You attach a 2.50 kg block to a horizorsal spring that is fixed at one end. You pull the block until the spring is stretched by
0.400 m and release it from rest. Assume the block sides on a horizontal surface with negligible friction The block reaches a
speed of zero again 0.400 s after release (for the first time after release). What is the maximum speed of the block (in m/s)?
.A crate of mass 10kg is pulled up arough incline with an initial speed of 1.5m/s. the pulling force is 100N parallel to the incline which makes an angle of 30° with the horizontal. the coefficient of kinetic friction is 0.4 and the crate is pulled 5m.
a.How much work is done by gravity?
b.how much mechanical energy is lost due to friction?
c.what is the change in kinetic energy of the crate?
d. What is the speed of the crate after being pulled by 5m?
cocnsider the combination of two capacitors C1 and C2 with C2>C1 when connected in parallel , the equivalent capacitance is 8 times the equivalent capacitance of the same connected in series. calculate the ratio of capacitors, C2/C1.
an inclined plane making an angle of 30° with the horizontal placed in a uniform horizontal electric field 200N/C. A body of mass 1kg and a charge 5mC is allowed to slide down from a rest at a height of 1m. if the coefficient friction is 0.2, find the time taken to reach the bottom.
