🔭 physics
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Kinematics Problems
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
Car Deceleration
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
Speed Conversion
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 $22.7 \text{ m/s}$.
Three Charge Force
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
Angular Acceleration
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
Angular Velocity Rotational Inertia
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.
Capacitor Array
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
Newton Multiplier
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
Moment Calculation
1. The problem states: Calculate the work done when the moment applied is given by $$MA = 600 \times 1\text{ N.m}$$.
2. Since $$600 \times 1 = 600$$, the moment is $$600 \text{ N.m
Circular Motion
1. **Problem 1:** A car moves at constant speed $12 \text{ m/s}$ around a circular arc of radius $35 \text{ m}$. Find angular speed $\omega$, time to sweep $60^\circ$, arc length i
Force Magnitude Sliding
1. **Problem statement:** A block weighing 39.0 N is pressed against a vertical wall by a force $F$ acting at an angle $\theta=30.0^\circ$ to the horizontal. The coefficient of kin
Speed Conversion
1. The problem involves converting speeds given in kilometers per hour (km/h) to meters per second (m/s).
2. The conversion formula is: