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Category: Numerical Problems

Consider a particle of mass m moving in one dimension under a force with the potential U(x) = k(2x^3 − 5x^2 + 4x)…
Numerical Problems

Consider a particle of mass m moving in one dimension under a force with the potential U(x) = k(2x^3 − 5x^2 + 4x)…

adminby adminOctober 6, 2024November 24, 20240

Consider a particle of mass m moving in one dimension under a force with thepotential , where the constant . Show thatthe point corresponds to …

A thin cylindrical wheel of radius r = 40 cm is allowed to spin on a frictionless axle. The wheel, which is initially at rest, has a tangential force applied at right angles to its radius of magnitude 50 N. The wheel has a moment of inertia equal to 20 kg m^2…
Numerical Problems

A thin cylindrical wheel of radius r = 40 cm is allowed to spin on a frictionless axle. The wheel, which is initially at rest, has a tangential force applied at right angles to its radius of magnitude 50 N. The wheel has a moment of inertia equal to 20 kg m^2…

adminby adminOctober 4, 2024November 24, 20240

(a) A thin cylindrical wheel of radius r = 40 cm is allowed to spin on a frictionless axle. The wheel, which is initially at …

A projectile of mass 20.0 kg is fired at an angle of  to the horizontal….
Numerical Problems

A projectile of mass 20.0 kg is fired at an angle of \Large 55.0^\circ to the horizontal….

Editorial Teamby Editorial TeamJuly 18, 2024November 24, 20240

A projectile of mass 20.0 kg is fired at an angle of 55.0° to the horizontal with an initial velocity of 350 m/s. At the …

Cars A and B are travelling in adjacent lanes along a straight road…
Numerical Problems

Cars A and B are travelling in adjacent lanes along a straight road…

adminby adminJuly 17, 2024November 24, 20240

Cars A and B are travelling in adjacent lanes along a straight road as shown.At time, t = 0 their positions and speeds are as …

A stone is thrown from ground level over horizontal ground. It just clears three walls..
Numerical Problems

A stone is thrown from ground level over horizontal ground. It just clears three walls..

Editorial Teamby Editorial TeamJuly 17, 2024November 24, 20240

A stone is thrown from ground level over horizontal ground. It just clears three walls, the successive distances between them being r and 2r. The …

A boy wishes to throw a ball through a house via two small openings, one in..
Numerical Problems

A boy wishes to throw a ball through a house via two small openings, one in..

adminby adminJuly 17, 2024November 24, 20240

A boy wishes to throw a ball through a house via two small openings, one inthe front and the other in the back window, the …

From an elevated point A, a stone is projected vertically upward…
Numerical Problems

From an elevated point A, a stone is projected vertically upward…

adminby adminJanuary 19, 2024November 24, 20240

From an elevated point A, a stone is projected vertically upward. When the stone reaches a distance h below A, its velocity is double of …

The diameter of a cylinder is measured using a vernier calipers with no zero error…
Numerical Problems

The diameter of a cylinder is measured using a vernier calipers with no zero error…

adminby adminJanuary 18, 2024November 24, 20240

The diameter of a cylinder is measured using a vernier calipers with no zero error. It is found that the zero of the vernier scale …

A vernier calipers has 1mm marks on the main scale. It has 20 equal divisions on the Vernier scale which match with 16 main scale divisions. Calculate the least count of Vernier calipers.
Numerical Problems

A vernier calipers has 1mm marks on the main scale. It has 20 equal divisions on the Vernier scale which match with 16 main scale divisions. Calculate the least count of Vernier calipers.

adminby adminJanuary 18, 2024November 24, 20240

Vernier calipers are precision instruments used for measuring internal and external dimensions with high accuracy. The instrument consists of a main scale and a Vernier …

If the velocity of light c, the constant of gravitation G, and Plank’s constant h are chosen as fundamental units, find the dimensions of mass, length, and time in terms of c, G, and h.
Numerical Problems

If the velocity of light c, the constant of gravitation G, and Plank’s constant h are chosen as fundamental units, find the dimensions of mass, length, and time in terms of c, G, and h.

adminby adminJanuary 18, 2024November 24, 20240

In physics, the choice of fundamental units can vary depending on the field of study. In certain advanced fields, such as theoretical physics, it can …

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