🔭 physics

1. **Problem statement:** A vehicle is traveling at 35 mph (56.32 kph). The driver has a perception and reaction time of 1.6 seconds. The deceleration rate during braking is 22.54

1. **Problem statement:** A bead slides without friction on a vertical circular hoop of radius $r=0.100$ m rotating at $f=4.00$ rev/s about a vertical diameter. (a) Find the angle

1. **Problem statement:** A bead slides without friction on a circular hoop of radius $r=0.100$ m rotating at $f=4.00$ rev/s about a vertical diameter. (a) Find the angle $\beta$ a

1. **Problem statement:** A bead slides without friction on a circular hoop of radius $r=0.100$ m rotating at $f=4.00$ rev/s about a vertical diameter. We need to find the angle $\

1. **State the problem:** We are given the formula $$\frac{v^2}{rg} = \tan \beta$$ and need to understand or manipulate it. 2. **Explain the formula:** This formula relates velocit

1. **Problem statement:** Calculate the amount of heat energy (in kJ) produced by a heating pad connected to a 220 V power supply, drawing a current of 0.27 A, and operating for 25

1. **Problem statement:** Calculate the amount of heat energy (in kJ) delivered by an electric boiler with a power rating of 7.5 kW over a period of one hour.

1. **Problem statement:** A flowerpot falls past a window 1.9 m tall in 0.20 s. We need to find the height above the top of the window from which the flowerpot was dropped. 2. **Kn

1. **State the problem:** We have a frisbee thrown with initial velocity 40 ft/s from a height of 5 ft. The height after $t$ seconds is given by the function $$h(t) = -16t^2 + 40t

1. **Problem statement:** A bucket filled with water is tied to a string of length 50 cm and rotated in a vertical circle. We need to find the minimum angular speed at the highest

1. **Problem statement:** An object of mass 0.5 kg is rotated in a horizontal circle by a string 1.0 m long. The maximum tension the string can withstand before breaking is 50 N. W

1. **Problem statement:** Repeat part a for an object thrown upwards on Mars where gravity $g = 3.7 \text{ m/s}^2$.

1. **State the problem:** We are given the position function for an object under gravity:

1. **State the problem:** Calculate the height $S(t)$ of an object thrown upwards with initial velocity $v_0=28$ m/s from an initial height $h_0=3$ m after $t=2$ seconds, under gra

1. **Stating the problem:** We want to find the velocity and height of an object in motion, typically under gravity. 2. **Formulas used:**

1. **Stating the problem:** We are given the position function of an object moving under constant acceleration:

1. The problem is to understand and analyze the function describing vertical motion under gravity on Mars: $$y(t) = -\frac{1}{2}gt^2 + v_0 t + h_0$$ where $g$ is the acceleration d

1. **State the problem:** We need to find the unit rate of speed (kilometers per hour) for two birds: a bald eagle and a peregrine falcon.

1. **Problem statement:** Radon-222 decays exponentially with a half-life of 4 days. 2. **Formula for exponential decay:**

1. **State the problem:** We need to find how long the catcher has to get in position to catch the ball before it hits the ground. The height of the ball is given by the quadratic

1. **State the problem:** We have a radioactive isotope with an initial mass of 250 grams that halves every 10 years. We want to find the remaining mass after 6 years. 2. **Formula