🔭 physics

1. **Problem Statement:** We have ions of two isotopes, $^{12}C$ and $^{14}C$, accelerated through the same potential difference $V$ and entering a magnetic field $B$. They follow

1. **State the problem:** We need to find the lower and upper bounds of speed $s$ given $d = 180$ metres (2 significant figures) and $t = 7.2$ seconds (2 significant figures) using

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1. **State the problem:** We have the position function $$s = t^3 - 6t^2 + 3t$$ for $$t \geq 0$$, where $$t$$ is time in seconds and $$s$$ is position in feet.

1. **State the problem:** We are given the height function of a ball thrown on the moon as $$h(t) = 324t - \frac{12}{3} t^2.$$ We need to find the time $t$ when the ball reaches it

1. **Problem Statement:** A hand truck with a load of mass $30$ kg has a center of gravity at point $G$. A force $P$ is applied at point $B$ at an angle $\theta$ above the horizont

1. **Problem statement:** We have a hoop rolling on a rough surface with angular velocity $\omega = 4$ rad/s and angular acceleration $\alpha = 5$ rad/s$^2$. The center $O$ has vel

1. **Problem Statement:** Determine the moment of force $F$ about point $O$ and express it as a Cartesian vector with components in pound-feet.

1. **State the problem:** A ball is projected horizontally from a cliff that is $45m$ tall with a horizontal velocity of $20ms^{-1}$. We need to find the time it takes for the ball

1. **State the problem:** Calculate the acceleration of a 2.0kg toolbox sliding down a frictionless ramp inclined at an angle of $30^\circ$.

1. **Problem statement:** Decide if the following multiplications or divisions of measurements are possible and find the result if possible. 2. **Recall:** Multiplying or dividing

1. **State the problem:** We have two problems involving couple moments acting on beams and pipes.

1. **State the problem:** We know that the volume $V$ of a gas varies inversely as the pressure $P$. Given $V=12$ ft$^3$ when $P=10$ lb/ft$^2$, find $V$ when $P=4$ lb/ft$^2$.

1. **Problem Statement:** Linda is water-skiing and the boat follows a parabolic path with vertex at the origin $(0,0)$. The dock is at $(30,30)$ and the boat starts at $(-30,60)$.

1. **State the problem:** We have a mass $m = 55g = 0.055 kg$ applied to the M1 mass hanger at an angle $\theta$. We want to calculate the magnitude of the force $F$ due to gravity

1. **State the problem:** We need to find the frictional force acting on a 20 kg box sliding down a ramp inclined at 30° with a friction coefficient $k=0.1$. 2. **Formula for frict

1. **State the problem:** We need to find the resultant force pulling the plate down due to gravity, considering air resistance as friction with coefficient $k=0.001$. 2. **Given d

1. **State the problem:** We have two batteries in series, each with emf $1.5$ V, so total emf $E = 2 \times 1.5 = 3$ V.

1. **State the problem:** A car of mass $1000.0$ kg is moving at an initial speed of $24$ m/s and comes to a stop due to friction with coefficient $\mu = 0.80$. We need to find the

1. **State the problem:** We have a horizontal beam from $0$ cm to $40$ cm with five forces applied at different points and directions. We want to analyze the forces step by step.

1. The problem is to explain the concept of momentum. 2. Momentum is a physics concept defined as the product of an object's mass and its velocity.