Mechanics | Relativity Answers

A cannon is placed on the edge of a cliff that is 300 m tall. The barrel of the cannon is parallel to the ground below. If a cannonball leaves the barrel in a horizontal direction with a velocity of 115 m/sec how far out from the base of the cliff will the cannonball land?

A particle of mass m and charge is placed at rest in a uniform electric field E. If gravity is neglected, its path will be:
(1) Parabolic
(2) Helical
(3) Straight line
(4) Circular

Which of the following is CORRECT about the motion of a simple pendulum?
the kinetic energy is zero at the maximum displacement from the equilibrium position
the kinetic energy is zero at the maximum displacement from equilibrium position
the velocity is maximum as it passes the equilibrium position
the acceleration is zero at the maximum displacement from the equilibrium position

The equation of motion for a particular mass at the end of a spring is
x=0:40cos(0:70t−30)
m. For this oscillation, find the amplitude and the period.

a. 40 cm; 8.97 s
b. 20 cm ; 4.75s
c. 40 m; 9.87 s
d. 20 m; 4.75 s

Which of the following correctly represents the equation of a simple harmonic oscillator?
d2xdt2+ωx=0
d2xdt2+ω2x2=0
dxdt2+ω2x=0
d2xdt2+ω2x=0

The position of a particle along the x-axis depends on the time according to the equation according to the
at2−bT3
, where x is in metres and t in seconds. What are the dimensions of and units of a and b?
a. LT−2
,
m=s2
;
LT−3
,
m=s3

b. LT2
,
m=s−2
;
LT3
,
m=s−3

c. L−1T−2
,
m−1=s2
;
LT−3
,
m=s3

d. LT−2
,
m=s2
;
L−2T−3
,
m−2=s3

In which one of the following cases will the liquid flow in a pipe be most streamlined :
(1) Liquid of high viscosity and high density flowing through a pipe of small radius
(2) Liquid of high viscosity and low density flowing through a pipe of small radius
(3) Liquid of low viscosity and low density flowing through a pipe of large radius
(4) Liquid of low viscosity and high density flowing through a pipe of large radius

The force of gravitational attraction between two masses is 64 N. What will be the force if one mass is doubled and the distance between them is quadrupled?

A student is helping a teacher unload boxes off a truck at a school. A 6.24 kg box is sliding down the ramp at an angle of 36.1°. The ramp exerts a force of kinetic friction of 7.31N on the box. Calculate the acceleration of the box.

A force of 90 N is applied to a wagon (mass 40 kg) at an angle of 30° to the horizontal. If the frictional force is 27.94 N, the magnitude of the resulting acceleration of the wagon is ___m/s2.