🔭 physics

1. Calculate the work done by a 47 N force pushing a pencil 0.26 m. Work is calculated by the formula $$W = F \times d$$ where $F$ is the force and $d$ is the displacement.

1. **Stating the problem:** A body of weight $W$ rests on an inclined plane that makes an angle $\theta$ with the horizontal. We want to find the component of the weight perpendicu

1. **Problem Statement:** A force of magnitude 6 newtons acting North is resolved into two perpendicular components. Find the magnitude of the component in the direction halfway be

1. Problem: A car travels 1km in 30 seconds. Calculate its speed in m/s. Step 1: Convert 1 km to meters: 1 km = 1000 m.

1. **State the problem:** Find the magnitude and coordinate direction angles of the resultant force \( \mathbf{F}_R = \mathbf{F}_1 + \mathbf{F}_2 \). 2. **Write the given forces:**

1. Stating the problem: A car travels from Town A to Town B at 60 km/h in 4 hours. We want to find out how long it takes to travel the same distance at 80 km/h. 2. Calculate the di

1. State the problem: We need to find the average speed of a plane that flies 3980 kilometres in 5 hours 24 minutes. 2. Convert the time to hours only: 5 hours 24 minutes equals $$

1. Let's start by stating the problem: We want to find the average speed of an object. 2. Average speed is defined as the total distance traveled divided by the total time taken.

1. The problem involves two parallel wires a and b carrying currents of I and 2I, respectively, with a point y inside the triangle formed by points a, b, and y. 2. The magnetic flu

1. **State the problem:** We are given a circle with center C, line segments AD (vertical, length $L$) and CB (horizontal). The vectors are given: $T$ upwards along AD, $R$ leftwar

1. **Stating the problem:** We have a velocity-time graph of a particle with three segments.

1. **Problem 1: Position and velocities of a particle** Given: $$s = t^3 - 6t^2 - 15t + 7$$ ft, $$t$$ in seconds. Find total distance traveled at $$t=10s$$, average velocity, avera

1. The problem states: A particle's position is $s = t^3 - 6t^2 - 15t + 7$ ft and $t$ is in seconds. Find total distance traveled at $t=10$ s, average velocity, average speed, and

1. Problem: A particle's position along a line is given by $s(t) = t^3 - 6t^2 - 15t + 7$ ft. Find the total distance traveled by $t=10$ s, the average velocity, average speed, and

1. **Stating the problem:** Calculate the deceleration of the car during the first 8 seconds and find the time $t$ when the total distance travelled by the car is 245 m. 2. **Find

1. The problem asks to convert the speed of a cheetah from meters per second (m/s) to kilometers per hour (km/h). 2. Given speed is $22.7 \text{ m/s}$.

1. **State the problem:** We have three charges: $q_1 = 6.0 \times 10^{-6}$ C, $q_2 = -6.0 \times 10^{-6}$ C, and $q_3 = 3.0 \times 10^{-6}$ C, positioned as described with distanc

1. Stating the problem: A disc accelerates uniformly from rest to an angular velocity of 20 revolutions per second over a time period of 10 seconds. We need to find its angular acc

1. **Find the angular velocity of a wheel in radians per second spinning at 350 revolutions per minute.** - Given: $\text{Revolutions per minute} = 350$ rpm.

1. **Stating the problem:** We have a complex rectangular circuit with capacitors connected along edges with values involving $1/f0.4\mu F$, $2.5\mu F$, $30\mu F$, and $49\mu F$. T

1. The problem is to interpret and simplify the expression 600×10³N-MM. 2. First, recognize that 600×10³N likely means 600 times 10 to the power of 3 newtons, which is $600 \times