9a.An artillery shell is fired with an initial velocity of 300 m/s at 62.5° above the horizontal. To clear an avalanche, it explodes on a mountainside 34.5 s after firing. What are the x- and y-coordinates of the shell where it explodes, relative to its firing point?
8b.A projectile is launched with an initial speed of 59.0 m/s at an angle of 35.0° above the horizontal. The projectile lands on a hillside 3.55 s later. Neglect air friction. (Assume that the +x-axis is to the right and the +y-axis is up along the page.)
(a) What is the projectile's velocity at the highest point of its trajectory?
(b) What is the straight-line distance from where the projectile was launched to where it hits its target?
8a.A house is advertised as having 1900 square feet under roof. What is the area of this house in square meters?
12a.A right triangle has a hypotenuse of length 2.00 m, and one of its angles is 35.0°. What are the lengths of the following sides?
(a) the side opposite the 35.0° angle
(b) the side adjacent to the 35.0° angle
14a. A vector A has components Ax = −2.00 m and Ay = 2.50 m.
Find the magnitude (in m) and the direction (in degrees counterclockwise from the +x-axis) of the vector.
15a.The magnitude of vector A is 29.5 units and points in the direction 330° counterclockwise from the positive x-axis. Calculate the x- and y-components of this vector.
If the density of water is 1,00 g/cm3 and atmospheric pressure is 1,013 × 105 Pa, the depth in water (in m) where the absolute pressure is four times atmospheric pressure, is equal to
A battery of EMF E and internal resistance r is connected across a variable resistor. When the resistor is set at 2lΩ the current through it is 0.48A; when it is set at 36Ω. the current is 0.30A. Find E and r.
An ideal gas absorbs 5.00 × 10^3 J energy while doing 2.00 × 10^3 J of work on the environment during a constant pressure process (a) What is the change in the internal energy of the gas?
(b) If the internal energy now drops by 4.50 × 10^3 J and 2.00 × 10^3 J is expelled from the system, find the change in volume, assuming a constant pressure process at 1.01 × 10^5 Pa.
An electric flied is given by x^3kN/C.find the potential difference between the point on the x axis at x=1m and x=2m